Simon Fraser University Department of Mathematics
Spring 2005

MATH 252-3: Vector Calculus

Week 7 - Cylindrical and Spherical Coordinates, Midterm

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Instructor:
Ralf Wittenberg
K-10536, 291-4792
ralf@sfu.ca
Lectures:
M, W, F 8:30-9:20am
in K 9500
Text:
Davis & Snider,
Introduction to Vector Analysis
Wm.C. Brown

Announcements:

    • Homework Set 6 due Wednesday, March 2
      Notes on differentiating electric and magnetic fields E and B
      (This problem was on HW 7 in Spring 2004)

    • Midterm Exam : Friday, February 25, in class -
      covering the material we have studied from Ch.1 (1.1-1.15), Ch.2 (2.1-2.4), and Ch.3 (3.1-3.10). You do not need to study Taylor polynomials from 3.7, or the derivations of the formulas for div, grad and curl in 3.10; however, you should be able to use the formulas to compute, say, curl or Laplacian in Cartesian or cylindrical coordinates.
      No calculators or notes; I will give you this Formula sheet for the midterm exam

    • Review Session for Midterm Exam :
      Thursday, 24 February, 4:30-6:00pm, AQ 3005
      Come with your questions...

    • Spring 2004 Midterm Exam
      Old midterm exam for review, with solutions by John Hebron

Week 7:

  • Lecture 19: 21 February
    Cylindrical Coordinates:
    Vector differential operators in cylindrical coordinates via change of variables of geometric interpretation, arc length, volume element, gradient, divergence

    Reading: D&S Ch.3 (3.10)

  • Lecture 20: 23 February
    Cylindrical and Spherical Coordinates:
    Laplacian, curl in cylindrical coordinates, examples; spherical coordinates, level surfaces and coordinate curves

    Reading: D&S Ch.3 (3.10)

  • Lecture 21: 25 February
    Midterm Exam:
    (See notes above)
    Good luck!